Asked by Anonymous

Find the shaded area in the following figure if the rectangle inscribed in the circle has dimensions 3 ft x 4 ft.
I know I find the area of the rectangle A=l*w, but what do I do next?

I know that the Theorem of Pythagoras, 3^2 + 4^2 = d^2. So I can find the radius with this and then .....?
Answered by Reiny
You will have to describe the diagram they gave you in words.
Answered by bobpursley
If the rectangle is inscribed with all four corners touching the circle, then the diagonal of the rectangle is a diameter of the circle. Yes, use Phytagoras to find the diameter, then half that is the radius.
Answered by Anonymous
Yes, the the rectangle is inscribed with all four corners touching the circle. But my math isn't making sense to me.
Answered by Anonymous
Yes, the the rectangle is inscribed with all four corners touching the circle. But my math isn't making sense to me.

I know the steps I just cant compute
Answered by Reiny
Ok, good start with 3^2 + 4^2 = c^2

then c = 5
Isn't that the diameter of the circle?
so the radius is 2.5

area of circle = pi(2.5)^2 =
area of rectang = 3*4 = 12

take the difference to find the shaded area.